先进飞行器安全控制技术专刊

内外干扰下四旋翼无人机防撞方位编队控制

  • 周文禹 ,
  • 王英杰 ,
  • 欧阳辰昊 ,
  • 郑子轩 ,
  • 岳晓奎
展开
  • 1.西北工业大学 航天学院,西安 710072
    2.西安邮电大学 自动化学院,西安 710061

收稿日期: 2025-12-11

  修回日期: 2026-01-23

  录用日期: 2026-04-21

  网络出版日期: 2026-04-28

Bearing-based collision-avoidance formation control of quadrotor UAVs under internal and external disturbances

  • Wenyu ZHOU ,
  • Yingjie WANG ,
  • Chenhao OUYANG ,
  • Zixuan ZHENG ,
  • Xiaokui YUE
Expand
  • 1.School of Astronautics,Northwestern Polytechnical University,Xi’an 710072,China
    2.School of Automation,Xi’an University of Posts and Telecommunications,Xi’an 710061,China

Received date: 2025-12-11

  Revised date: 2026-01-23

  Accepted date: 2026-04-21

  Online published: 2026-04-28

摘要

针对四旋翼无人机集群在未建模动态与外部扰动下的方位编队控制及成员间防碰撞安全问题,提出一种融合参数自适应方法、分布式扩张状态观测器与倒数控制障碍函数的安全控制方案。在领导者-跟随者框架下,构建状态-扰动估计架构,仅利用无人机之间的方位角、方位角变化率及相对距离信息,在线估计各跟随者的全局位置、速度及所受内外干扰;基于估计状态与期望轨迹构造控制 Lyapunov 函数(CLF),同时设计兼顾相对位置与相对速度的倒数控制障碍函数(RCBF),将二者融入二次规划求解器,实时获得满足安全约束的最优控制量,并证明了规划问题的可行性。8机编队仿真结果表明:在内外干扰下集群能成功完成立方体编队的形成与保持,跟随者间最小距离保持在0.75 m,高于0.5 m的安全阈值,相比改进人工势场法的0.37 m与无防碰撞机制的0.10 m显著提升。所提方案在兼顾编队跟踪精度、抗扰能力与防碰撞安全性方面均具优势,具备良好的工程应用潜力。

本文引用格式

周文禹 , 王英杰 , 欧阳辰昊 , 郑子轩 , 岳晓奎 . 内外干扰下四旋翼无人机防撞方位编队控制[J]. 航空学报, 2026 , 47(9) : 533224 -533224 . DOI: 10.7527/S1000-6893.2025.33224

Abstract

A safe control scheme integrating a parameter adaptation approach, distributed extended state observer and reciprocal control barrier function is proposed to address bearing formation control and inter-agent collision safety issues of quadrotor UAV swarms under unmodeled dynamics and external disturbances. Under the leader-follower architecture, a state-disturbance estimation framework is constructed, which only adopts inter-UAV bearing angles, bearing angular rates and relative distance information to online estimate the global position, velocity as well as internal and external disturbances of each follower. A Control Lyapunov Function (CLF) is formulated according to estimated states and desired trajectories. Meanwhile, a Reciprocal Control Barrier Function (RCBF) considering both relative position and relative velocity is designed. Both functions are incorporated into a quadratic programming solver to acquire optimal control inputs satisfying safety constraints in real time, and the feasibility of the optimization problem is strictly verified theoretically. Simulation results of 8-UAV formation demonstrate that the swarm can accomplish the formation construction and maintenance of cubic topology against internal and external disturbances. The minimum distance among followers remains at 0.75 m, which is higher than the safety threshold of 0.5 m. This value is remarkably superior to 0.37 m of the improved artificial potential field method and 0.10 m of the scheme without collision avoidance mechanism. The proposed strategy possesses comprehensive advantages in formation tracking accuracy, disturbance resistance performance and collision avoidance security, and exhibits favorable practical engineering application prospects.

参考文献

[1] 杨明月, 寿莹鑫, 唐勇, 等. 多四旋翼无人机编队保持与避碰控制[J]. 航空学报202243(S1): 726913.
  YANG M Y, SHOU Y X, TANG Y, et al. Multi-quadrotor UAVs formation maintenance and collision avoidance control[J]. Acta Aeronautica et Astronautica Sinica202243(S1): 726913 (in Chinese).
[2] TANG Z Q, CUNHA R, HAMEL T, et al. Formation control of a leader-follower structure in three dimensional space using bearing measurements[J]. Automatica2021128: 109567.
[3] ZHAO S Y, ZELAZO D. Translational and scaling formation maneuver control via a bearing-based approach[J]. IEEE Transactions on Control of Network Systems20174(3): 429-438.
[4] LI Z H, TNUNAY H, ZHAO S Y, et al. Bearing-only formation control with prespecified convergence time[J]. IEEE Transactions on Cybernetics202252(1): 620-629.
[5] SU H F, CHEN C L, YANG Z W, et al. Bearing-based formation tracking control with time-varying velocity estimation[J]. IEEE Transactions on Cybernetics202353(6): 3961-3973.
[6] ERSKINE J, BALDERAS-HILL R, FANTONI I, et al. Model predictive control for dynamic quadrotor bearing formations[C]∥ 2021 IEEE International Conference on Robotics and Automation (ICRA). Piscataway: IEEE Press, 2021: 124-130.
[7] DING C, ZHANG Z, MIAO Z Q, et al. Event-based finite-time formation tracking control for UAV with bearing measurements[J]. IEEE Transactions on Industrial Electronics202572(7): 7482-7492.
[8] KHALID A, MUSHTAQ Z, ARIF S, et al. Control schemes for quadrotor UAV: Taxonomy and survey[J]. ACM Computing Surveys202356(5): 1-32.
[9] 许海涛,陈龙胜,王宇翔,等. 四旋翼无人机编队飞行路径规划及分布式协同控制[J/OL]. 控制理论与应用, (2025-07-17) [2025-12-11]. .
  XU H T, CHWN L S, WANG X Y, et al.Path planning and distributed cooperative control for quadrotor UAV formations flight[J/OL]. Control Theory Applications, (2025-07-17) [2025-12-11]. .
[10] LI C, LIU J P, CHEN X K, et al. Fuzzy observer-based finite-time adaptive formation control for multiple QUAVs with malicious attacks[J]. IEEE Transactions on Fuzzy Systems202432(11): 6500-6511.
[11] MULIADI J, KUSUMOPUTRO B. Neural network control system of UAV altitude dynamics and its comparison with the PID control system[J]. Journal of Advanced Transportation20182018(1): 3823201.
[12] YAO P, WANG H L, SU Z K. Real-time path planning of unmanned aerial vehicle for target tracking and obstacle avoidance in complex dynamic environment[J]. Aerospace Science and Technology201547: 269-279.
[13] 王羿, 叶辉, 杨晓飞. 基于无源性与势场法的四旋翼避障与位置控制[J]. 航空学报202344(S1): 727492.
  WANG Y, YE H, YANG X F. A position control and obstacle avoidance method for quadrotor via approach based on passivity and artificial potential filed[J]. Acta Aeronautica et Astronautica Sinica202344(S1): 727492 (in Chinese).
[14] AMES A D, XU X R, GRIZZLE J W, et al. Control barrier function based quadratic programs for safety critical systems[J]. IEEE Transactions on Automatic Control201762(8): 3861-3876.
[15] TAN X, CORTEZ W S, DIMAROGONAS D V. High-order barrier functions: Robustness, safety, and performance-critical control[J]. IEEE Transactions on Automatic Control202267(6): 3021-3028.
[16] 付俊杰, 林潇坤, 温广辉. 基于高阶控制障碍函数的多固定翼无人机鲁棒避障安全编队跟踪控制[J]. 机器人202547(1): 85-98.
  FU J J, LIN X K, WEN G H. Robust obstacle avoidance and safe formation tracking control for multiple fixed-wing UAVs based on high-order control barrier functions[J]. Robot202547(1): 85-98 (in Chinese).
[17] LI J, KANG H L, LI J F, et al. Bearing-based collision-free formation control for spacecrafts under dynamic event-triggered input[J]. IEEE Transactions on Automation Science and Engineering202522: 14855-14866.
[18] WANG Z J, HU T F, LONG L J. Multi-UAV safe collaborative transportation based on adaptive control barrier function[J]. IEEE Transactions on Systems, Man, and Cybernetics: Systems202353(11): 6975-6983.
[19] LI C, WANG Y J, YANG X B. Adaptive fuzzy control of a quadrotor using disturbance observer[J]. Aerospace Science and Technology2022128: 107784.
[20] JEON H, SONG J, LEE H, et al. Modeling quadrotor dynamics in a wind field[J]. IEEE/ASME Transactions on Mechatronics202126(3): 1401-1411.
[21] Khromov V, Rand O. Ground effect modeling for rotary-wing simulation[C]∥26th International Congress of the Aeronautical Sciences. Bonn: International Council of the Aeronautical Sciences, 2008: 1-10.
[22] YANG Y, ZHANG H H. Neural network-based adaptive fractional-order backstepping control of uncertain quadrotors with unknown input delays[J]. Fractal and Fractional20237(3): 232.
[23] ARSLAN K M, ZHAO L Y, XUE K J. Investigation of aerodynamic interference between vertically aligned quadcopters at varying rotor speeds and separations[J]. Drones20259(10): 712.
[24] SHUKLA D, KOMERATH N. Multirotor drone aerodynamic interaction investigation[J]. Drones20182(4): 43.
[25] JIN D Y, QIU R Y, QIU J B, et al. Prescribed performance control for a novel quadrotor based on the fully actuated system approach and an extended state observer[J]. Control Engineering Practice2026168: 106671.
[26] CHENG H S, HUANG J. A general framework for the bearing-based formation control[J]. IEEE Transactions on Automatic Control202570(6): 3603-3616.
[27] SHENG H L, ZHANG J, YAN Z Y, et al. New multi-UAV formation keeping method based on improved artificial potential field[J]. Chinese Journal of Aeronautics202336(11): 249-270.
[28] KAMEL M, BURRI M, SIEGWART R. Linear vs nonlinear MPC for trajectory tracking applied to rotary wing micro aerial vehicles[J]. IFAC-PapersOnLine201750(1): 3463-3469.
文章导航

/